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Atlas › Integer Profiles › Node 62,044,000

62,044,000

25 × 53 × 15511
Abundant Even Composite

62,044,000 factors as 2^5 × 5^3 × 15511. Its 48 positive divisors give a proper-divisor sum of 90,407,936, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^5 × 5^3 × 15511
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 152,451,936
Proper Divisor Sum 90,407,936
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #62043991 ← → #62044001

Radix Representation

Decimal 62044000
Binary 11101100101011011101100000 (26 bits)
Octal 0o354533540
Hexadecimal 0x3B2B760

Divisor Catalog (48)

1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1,000 2,000 4,000 15,511 31,022 62,044 77,555 124,088 155,110 248,176 310,220 387,775 496,352 620,440 775,550 1,240,880 1,551,100 1,938,875 2,481,760 3,102,200 3,877,750 6,204,400 7,755,500 12,408,800 15,511,000 31,022,000 62,044,000

Collatz Trajectory (114 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

62,044,000 31,022,000 15,511,000 7,755,500 3,877,750 1,938,875 5,816,626 2,908,313 8,724,940 4,362,470 2,181,235 6,543,706 3,271,853 9,815,560 4,907,780 2,453,890 1,226,945 3,680,836 1,840,418 920,209 2,760,628 1,380,314 690,157 2,070,472 1,035,236 517,618 258,809 776,428 388,214 194,107 582,322 291,161 873,484 436,742 218,371 655,114 327,557 982,672 491,336 245,668 122,834 61,417 184,252 92,126 46,063 138,190 69,095 207,286 103,643 310,930 155,465 466,396 233,198 116,599 349,798 174,899 524,698 262,349 787,048 393,524

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